You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.3pA=0.3;  pB=0.1pB=0.1;  pC=0.4pC=0.4;  pD=0.2pD=0.2 Complete the table. Report all answers accurate to three decimal places. Category Observed Frequency Expected Frequency Residual A 32     B 38     C 58     D 36     What is the chi-square test-statistic for this data? χ2=χ2=  For significance level alpha 0.01, what is the chi-square Critical Value? Critical Value =  What would be the conclusion of this hypothesis test? Reject the Null Hypothesis Fail to reject the Null Hypothesis Report all answers accurate to three decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.3pA=0.3;  pB=0.1pB=0.1;  pC=0.4pC=0.4;  pD=0.2pD=0.2

Complete the table. Report all answers accurate to three decimal places.

Category Observed
Frequency
Expected
Frequency
Residual
A 32    
B 38    
C 58    
D 36    



What is the chi-square test-statistic for this data?
χ2=χ2= 

For significance level alpha 0.01, what is the chi-square Critical Value?
Critical Value = 

What would be the conclusion of this hypothesis test?

  • Reject the Null Hypothesis
  • Fail to reject the Null Hypothesis



Report all answers accurate to three decimal places.

 

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